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42211122134040 = 23325532212322963
BaseRepresentation
bin10011001100100000010101…
…11100001011110000011000
312112110100021200022111102100
421212100022330023300120
521013041334231242130
6225435304413203400
711614436646061416
oct1146201274136030
9175410250274370
1042211122134040
11124a4700003a72
12489896b490560
131a726514689b2
14a5d05a2302b6
154d301c7d5c60
hex26640af0bc18

42211122134040 has 96 divisors (see below), whose sum is σ = 139774564865520. Its totient is φ = 11043916226304.

The previous prime is 42211122134039. The next prime is 42211122134107. The reversal of 42211122134040 is 4043122111224.

42211122134040 is a `hidden beast` number, since 4 + 2 + 21 + 11 + 221 + 3 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42211122133995 and 42211122134013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106142402 + ... + 1106180561.

Almost surely, 242211122134040 is an apocalyptic number.

42211122134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42211122134040 is an abundant number, since it is smaller than the sum of its proper divisors (97563442731480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42211122134040 is a wasteful number, since it uses less digits than its factorization.

42211122134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212323033 (or 2212323026 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42211122134040 its reverse (4043122111224), we get a palindrome (46254244245264).

The spelling of 42211122134040 in words is "forty-two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 2212322963 4424645926 6636968889 8849291852 11061614815 13273937778 17698583704 19910906667 22123229630 26547875556 33184844445 39821813334 44246459260 53095751112 66369688890 79643626668 88492918520 99554533335 117253117039 132739377780 159287253336 199109066670 234506234078 265478755560 351759351117 398218133340 469012468156 586265585195 703518702234 796436266680 938024936312 1055278053351 1172531170390 1407037404468 1758796755585 2110556106702 2345062340780 2814074808936 3517593511170 4221112213404 4690124681560 5276390266755 7035187022340 8442224426808 10552780533510 14070374044680 21105561067020 42211122134040